Rational & Irrational Numbers Review

What are the positive and negative square roots of 121? Select two answers from the choices below.

• 11

• -11

• -13

• 12

• 15

Between which two consecutive numbers does -√50 lie?

• A. -4 and -5

• B. -5 and -6

• C. -6 and -7

• D. -7 and -8

Which of these best represents √24? A number between –

• A. 4 and 5

• B. 5 and 6

• C. 6 and 7

• D. 8 and 9

√300 falls between which two sets of consecutive numbers?

• -10 and -30

• 10 and 30

• 17 and 18

• 16 and 17

• 15 and 20

Which of these is a rational number?

• √2

• 0.41414...

• √5

• -6.060606

Which is a true statement concerning the rational number 2/3?

• This number can be expressed in the form a/b, where a and b are integers and b ≠ 0.

• This number cannot be expressed in the form a/b, where a and b are integers and b ≠ 0.

• This number can be expressed in the form a/b, where a and b are integers and b = 0.

• This number cannot be expressed in the form a/b, where a and b are integers and b = 0.

The number 3.7 is best described as –

• a rational number

• an integer

• a whole number

• an irrational number

Which of the following can be defined as an integer, but not a whole number?

• -1/3

• -√20

• -20/5

• -13.1

Which Venn diagram best represents the following sets of numbers? √81, 27, 4.6, √11

• 
• 
• 
• 

Match the definitions to the corresponding subgroup of the real number system.

• Integers

• Whole Numbers

• Rational Numbers

• The set of counting numbers and zero {0, 1, 2, 3,...}

• Natural Numbers

• The set of counting numbers {1, 2, 3, 4,...}

• Irrational Numbers

• The set of whole numbers and their opposites {... - 2, - 1, 0, 1, 2}